The seminar will take place on January 8, 2026, in a hybrid format and is dedicated to practice giving mathematical research talks in a friendly setting.
Sheima Obeidi will be presenting her thesis work with a talk titled “On p-adic Regulators of Number Fields”.
When: 08.01.2026, at 14:00 c.t.
Where: D224 at Emmy-Noether-Campus Siegen
or online via https://uni-siegen.webex.com/uni-siegen/j.php?MTID=m17b18a6d0821398c40b7ef34e5066485
Abstract: Arithmetic statistics, which goes back to Gauß’ Disquisitiones Arithmeticae in the nineteenth century, focuses on studying the invariants of arithmetic objects by investigating their distributions. In this talk, we examine the distribution of valuations of p-adic regulators of number fields. To derive conjectures, we formulate a principle that links the p-adic regulator to the order of a finite module, and we present numerical data for selected examples. This principle extends conjectures of Hofmann-Zhang concerning cyclic extensions of odd prime degree. Lastly, we discuss relations for the p-adic regulator of a number field and its subfields.